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$p$ -regular Cauchy completions.

Kent, Darrell C., Wig, Jennifer (2000)

International Journal of Mathematics and Mathematical Sciences

$p$ -topological Cauchy completions.

Wig, J., Kent, D.C. (1999)

International Journal of Mathematics and Mathematical Sciences

Peano compactifications and property S metric spaces.

Dickman, Raymond F.jun. (1980)

International Journal of Mathematics and Mathematical Sciences

Perfect compactifications of frames

Dharmanand Baboolal (2011)

Czechoslovak Mathematical Journal

Perfect compactifications of frames are introduced. It is shown that the Stone-Čech compactification is an example of such a compactification. We also introduce rim-compact frames and for such frames we define its Freudenthal compactification, another example of a perfect compactification. The remainder of a rim-compact frame in its Freudenthal compactification is shown to be zero-dimensional. It is shown that with the assumption of the Boolean Ultrafilter Theorem the Freudenthal compactification...

Perfect compactifications of functions

Giorgio Nordo, Boris A. Pasynkov (2000)

Commentationes Mathematicae Universitatis Carolinae

We prove that the maximal Hausdorff compactification $χ f$ of a $T_{2}$ -compactifiable mapping $f$ and the maximal Tychonoff compactification $β f$ of a Tychonoff mapping $f$ (see [P]) are perfect. This allows us to give a characterization of all perfect Hausdorff (respectively, all perfect Tychonoff) compactifications of a $T_{2}$ -compactifiable (respectively, of a Tychonoff) mapping, which is a generalization of two results of Skljarenko [S] for the Hausdorff compactifications of Tychonoff spaces.

Perfect mappings in topological groups, cross-complementary subsets and quotients

Aleksander V. Arhangel'skii (2003)

Commentationes Mathematicae Universitatis Carolinae

The following general question is considered. Suppose that $G$ is a topological group, and $F$ , $M$ are subspaces of $G$ such that $G = M F$ . Under these general assumptions, how are the properties of $F$ and $M$ related to the properties of $G$ ? For example, it is observed that if $M$ is closed metrizable and $F$ is compact, then $G$ is a paracompact $p$ -space. Furthermore, if $M$ is closed and first countable, $F$ is a first countable compactum, and $F M = G$ , then $G$ is also metrizable. Several other results of this kind are obtained....

Perfectness of the Higson and Smirnov compactifications

Yuji Akaike, Naotsugu Chinen, Kazuo Tomoyasu (2007)

Colloquium Mathematicae

We provide a necessary and sufficient condition for the Higson compactification to be perfect for the noncompact, locally connected, proper metric spaces. We also discuss perfectness of the Smirnov compactification.

Points very close to the smallest ideal of ßS.

N. Hindman, A.T. Lisan (1994)

Semigroup forum

Prime extensions and nearness structures

John W. Carlson (1980)

Commentationes Mathematicae Universitatis Carolinae

Prime mappings, number of factors and binary operations [Book]

Eric K. van Douwen (1981)

Primitive words and spectral spaces.

Echi, Othman, Naimi, Mongi (2008)

The New York Journal of Mathematics [electronic only]

Probabilistic Topologies Induced by L-Fuzzy Uniformities.

Ulrich Höhle (1982)

Manuscripta mathematica

Products as reflections

Miroslav Hušek (1972)

Commentationes Mathematicae Universitatis Carolinae

Produit topologique, produit tensoriel et $c$ -replétion

Henri Buchwalter (1972)

Mémoires de la Société Mathématique de France

Projective potencies and multiplicative extension operators

Andrzej Szankowski (1970)

Fundamenta Mathematicae

Proper shape retracts

B. Ball (1975)

Fundamenta Mathematicae

Properties of one-point completions of a noncompact metrizable space

Melvin Henriksen, Ludvík Janoš, Grant R. Woods (2005)

Commentationes Mathematicae Universitatis Carolinae

If a metrizable space $X$ is dense in a metrizable space $Y$ , then $Y$ is called a metric extension of $X$ . If $T_{1}$ and $T_{2}$ are metric extensions of $X$ and there is a continuous map of $T_{2}$ into $T_{1}$ keeping $X$ pointwise fixed, we write $T_{1} \leq T_{2}$ . If $X$ is noncompact and metrizable, then $(ℳ (X), \leq)$ denotes the set of metric extensions of $X$ , where $T_{1}$ and $T_{2}$ are identified if $T_{1} \leq T_{2}$ and $T_{2} \leq T_{1}$ , i.e., if there is a homeomorphism of $T_{1}$ onto $T_{2}$ keeping $X$ pointwise fixed. $(ℳ (X), \leq)$ is a large complicated poset studied extensively by V. Bel’nov [The structure of...

Currently displaying 1 – 20 of 22

Page 1 Next

Displaying 1 – 20 of 22

$p$ -regular Cauchy completions.

$p$ -topological Cauchy completions.

Peano compactifications and property S metric spaces.

Perfect compactifications of frames

Perfect compactifications of functions

Perfect mappings in topological groups, cross-complementary subsets and quotients

Perfectness of the Higson and Smirnov compactifications

Points very close to the smallest ideal of ßS.

Prime extensions and nearness structures

Prime mappings, number of factors and binary operations [Book]

Primitive words and spectral spaces.

Probabilistic Topologies Induced by L-Fuzzy Uniformities.

Products as reflections

Produit topologique, produit tensoriel et $c$ -replétion

Projective potencies and multiplicative extension operators

Proper shape retracts

Properties of one-point completions of a noncompact metrizable space

Propriété de Baire de $β N$ muni d’une nouvelle topologie et application à la construction d’ultrafiltres

Proximity approach to extension problems

Proximity classes of uniformities

Currently displaying 1 – 20 of 22